Continuous Random Variables, PDF & CDF Mechanics

Build practical skill in continuous random variables, pdf & cdf mechanics. This 25-question practice set combines single-select and multiselect exercises, worked calculations, explanations of distractors, and diagnostic challenges. Prerequisites: Single-variable integration and probability axioms. Practice includes distinguish density, cumulative probability and point mass; normalize pdfs and integrate interval probabilities; construct and differentiate cdfs; handle conditioning, rounding and support gaps; apply moving-boundary differentiation; diagnose regularity assumptions and invalid densities. Questions are independently answerable; the authored learning sequence moves from foundations to applications and assumption checks. Reference methods draw on OpenStax, university probability teaching, and NIST where appropriate.